Neumann problem for nonlinear Schrödinger equation with the Riesz fractional derivative operator
type: Item
instance of: scholarly article
title: Neumann problem for nonlinear Schrödinger equation with the Riesz fractional derivative operator
zbMATH Open document ID: 1337.35133
author: Liliana Esquivel
author: Elena I. Kaikina
published in: Journal of Differential Equations
publication date: 2016-02-08T00:00:00Z
review text: The authors consider the initial-boundary value problem for the fractional Schrödinger equation, (the fractional derivative operator defined by the Riesz potential) posed on positive half-line \(x>0\): The global existence in time and asymptotics of solutions to the initial-boundary value problem was proved. Their main goal is to obtain the large time asymptotics of solutions.
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35A01
zbMATH DE Number: 6539944
zbMATH Keywords: cubic nonlinear fractional Schrödinger equation
zbMATH Keywords: initial-boundary value problem
zbMATH Keywords: global-in-time analysis
zbMATH Keywords: asymptotics of solutions
reviewed by: Qin Meng Zhao
MaRDI profile type: Publication
full work available at URL: j.jde.2015.12.015
OpenAlex ID: W2287914106
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DOI: 10.1016/J.JDE.2015.12.015
description: scientific article